Find the Derivative - d/d@VAR f(x)=5x-3

Problem

d()/d(x)*(5*x−3)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=5*x−3

2. Apply the sum rule for derivatives, which states that the derivative of a sum or difference is the sum or difference of the derivatives.

3. Differentiate the first term, 5*x using the power rule.

(d(5)*x)/d(x)=5

4. Differentiate the second term, 3 which is a constant. The derivative of any constant is zero.

d(3)/d(x)=0

5. Combine the results to find the final derivative.

5−0=5

Final Answer

d()/d(x)*(5*x−3)=5

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